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What is the coefficient of the squared expression in the parabolas equation?
The coefficient of the squared term in a parabola's equation, typically expressed in the standard form (y = ax^2 + bx + c), is represented by the value (a). This coefficient determines the direction and the width of the parabola: if (a > 0), the parabola opens upwards, and if (a < 0), it opens downwards. The larger the absolute value of (a), the narrower the parabola.
Is b squared-4ac called simplest form?
No, it is the discriminant of a quadratic equation.
Is x plus y2 equals 25 a linear equation?
No, not if the y is squared. When graphed the equation will not form a straight line.
The vertex of this parabola is at 3 1 When the y-value is 0 the x-value is 4 What is the coefficient of the squared term in the parabolas equation?
To find the coefficient of the squared term in the parabola's equation, we can use the vertex form of a parabola, which is (y = a(x - h)^2 + k), where ((h, k)) is the vertex. Given the vertex at (3, 1), the equation starts as (y = a(x - 3)^2 + 1). Since the parabola passes through the point (4, 0), we can substitute these values into the equation: (0 = a(4 - 3)^2 + 1), resulting in (0 = a(1) + 1). Solving for (a), we find (a = -1). Thus, the coefficient of the squared term is (-1).
What is an equation that can be expressed in the form of the equation y equals ax squared plus bx plus c where the variable 'a' is not equal to 0?
The equation ax2 + bx + c = 0, where a != 0 is called quadratic.
Is b squared-4ac called simplest form?
No, it is the discriminant of a quadratic equation.
Is x plus y2 equals 25 a linear equation?
No, not if the y is squared. When graphed the equation will not form a straight line.
What is the exponent form of fifty squared and the value?
It is 22*54 = 2500.
The vertex of this parabola is at 3 1 When the y-value is 0 the x-value is 4 What is the coefficient of the squared term in the parabolas equation?
To find the coefficient of the squared term in the parabola's equation, we can use the vertex form of a parabola, which is (y = a(x - h)^2 + k), where ((h, k)) is the vertex. Given the vertex at (3, 1), the equation starts as (y = a(x - 3)^2 + 1). Since the parabola passes through the point (4, 0), we can substitute these values into the equation: (0 = a(4 - 3)^2 + 1), resulting in (0 = a(1) + 1). Solving for (a), we find (a = -1). Thus, the coefficient of the squared term is (-1).
How do you factor 7x cubed - 12x squared - 4x?
First, you remove every x that you can from the equation. Next, you reach the simplest form of the equation, which is (7x-2)(x-2). Which is the lowest factorable form.
What is an equation that can be expressed in the form of the equation y equals ax squared plus bx plus c where the variable 'a' is not equal to 0?
The equation ax2 + bx + c = 0, where a != 0 is called quadratic.
Why quadratic equation called quadratic?
Because it is in the form of ax^2+bx+c=0 Because quadratic means squared hence ax squared + bx +c=0 has a squared number as it's highest term. This is in fact the area of a square of a side "x" is x^2, so every equation having variable with exponent 2 become quadratic equation.
What is the form of an equation for a horizontal line?
For a horizontal line, it is y= a value
The vertex form of the equation of a parabola is y x-5 2 plus 16 what is the standard form of the equation?
In the equation y x-5 2 plus 16 the standard form of the equation is 13. You find the answer to this by finding the value of X.
A way to write numbers by showing the value of each digit?
expanded form
The vertex of this parabola is at (-3 -1). When the y-value is 0 the x-value is 4. What is the coefficient of the squared term in the parabola's equation?
To find the coefficient of the squared term in the parabola's equation, we can use the vertex form of a parabola, which is (y = a(x - h)^2 + k), where ((h, k)) is the vertex. Here, the vertex is ((-3, -1)), so the equation becomes (y = a(x + 3)^2 - 1). Given that when (y = 0), (x = 4), we can substitute these values into the equation to find (a): [0 = a(4 + 3)^2 - 1 \implies 0 = a(7^2) - 1 \implies 1 = 49a \implies a = \frac{1}{49}.] Thus, the coefficient of the squared term is (\frac{1}{49}).
Which equation shows y squared in isolated form x squared 25y squared 100?
To isolate ( y^2 ) in the equation ( x^2 + 25y^2 = 100 ), first, subtract ( x^2 ) from both sides to get ( 25y^2 = 100 - x^2 ). Then, divide both sides by 25, resulting in ( y^2 = \frac{100 - x^2}{25} ). Thus, the equation in isolated form is ( y^2 = 4 - \frac{x^2}{25} ).
